(3x-1)+3(4x+7)=4x-2

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Solution for (3x-1)+3(4x+7)=4x-2 equation:


Simplifying
(3x + -1) + 3(4x + 7) = 4x + -2

Reorder the terms:
(-1 + 3x) + 3(4x + 7) = 4x + -2

Remove parenthesis around (-1 + 3x)
-1 + 3x + 3(4x + 7) = 4x + -2

Reorder the terms:
-1 + 3x + 3(7 + 4x) = 4x + -2
-1 + 3x + (7 * 3 + 4x * 3) = 4x + -2
-1 + 3x + (21 + 12x) = 4x + -2

Reorder the terms:
-1 + 21 + 3x + 12x = 4x + -2

Combine like terms: -1 + 21 = 20
20 + 3x + 12x = 4x + -2

Combine like terms: 3x + 12x = 15x
20 + 15x = 4x + -2

Reorder the terms:
20 + 15x = -2 + 4x

Solving
20 + 15x = -2 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
20 + 15x + -4x = -2 + 4x + -4x

Combine like terms: 15x + -4x = 11x
20 + 11x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 11x = -2 + 0
20 + 11x = -2

Add '-20' to each side of the equation.
20 + -20 + 11x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 11x = -2 + -20
11x = -2 + -20

Combine like terms: -2 + -20 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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